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Finding the Fourth Proportional to 647,620.40, 970,264.20 and 398,010.80

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Solution

The fourth proportional to 647,620.40, 970,264.20 and 398,010.80 is: 596,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,620.40 : 970,264.20 = 398,010.80 : x
  2. Step 2: Convert to fraction form
    647,620.40/970,264.20 = 398,010.80/x
  3. Step 3: Cross multiply
    647,620.40x = 970,264.20 × 398,010.80
  4. Step 4: Simplify right side
    647,620.40x = 386,175,630,453.36
  5. Step 5: Solve for x
    x = 386,175,630,453.36/647,620.40
  6. Step 6: Final answer
    x = 596,299.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.